180971 has 8 divisors (see below), whose sum is σ = 209664. Its totient is φ = 153000.

The previous prime is 180959. The next prime is 181001. The reversal of 180971 is 179081.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 180971 - 2⁶ = 180907 is a prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 180971.

It is not an unprimeable number, because it can be changed into a prime (180071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2¹⁸⁰⁹⁷¹ is an apocalyptic number.

180971 is a deficient number, since it is larger than the sum of its proper divisors (28693).

180971 is a wasteful number, since it uses less digits than its factorization.

180971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its (nonzero) digits is 504, while the sum is 26.

The square root of 180971 is about 425.4068640725. The cubic root of 180971 is about 56.5635070484.

The spelling of 180971 in words is "one hundred eighty thousand, nine hundred seventy-one".